Circle packing in regular polygons

P Amore - Physics of Fluids, 2023 - pubs.aip.org
We study the packing of a large number of congruent and non-overlapping circles inside a
regular polygon. We have devised efficient algorithms that allow one to generate …

Self-ordering of buckling, bending, and bumping beams

A Guerra, AC Slim, DP Holmes, O Kodio - Physical Review Letters, 2023 - APS
A collection of thin structures buckle, bend, and bump into each other when confined. This
contact can lead to the formation of patterns: hair will self-organize in curls; DNA strands will …

Comparative study of crumpling and folding of thin sheets

S Deboeuf, E Katzav, A Boudaoud, D Bonn… - Physical review …, 2013 - APS
Crumpling and folding of paper are at first sight very different ways of confining thin sheets in
a small volume: the former one is random and stochastic whereas the latest one is regular …

Morphological phases of crumpled wire

N Stoop, FK Wittel, HJ Herrmann - Physical review letters, 2008 - APS
We find that in two dimensions wires can crumple into different morphologies and present
the associated morphological phase diagram. Our results are based on experiments with …

Confinement of semiflexible polymers

J Guven, P Vázquez-Montejo - Physical Review E—Statistical, Nonlinear, and …, 2012 - APS
A variational framework is developed to examine the equilibrium states of a semiflexible
polymer that is constrained to lie on a fixed surface. As an application the confinement of a …

Yin-Yang spiraling transition of a confined buckled elastic sheet

S Deboeuf, S Protière, E Katzav - Physical Review Research, 2024 - APS
DNA in viral capsids, plant leaves in buds, and geological folds are examples in nature of
tightly packed low-dimensional objects. However, the general equations describing their …

Packing of elastic rings with friction

S Alben - Proceedings of the Royal Society A, 2022 - royalsocietypublishing.org
We study the deformations of elastic filaments confined within slowly shrinking circular
boundaries, under contact forces with friction. We perform computations with a spring-lattice …

Entropic rigidity of a crumpling network in a randomly folded thin sheet

AS Balankin, OS Huerta - Physical Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
We have studied experimentally and theoretically the response of randomly folded
hyperelastic and elastoplastic sheets on the uniaxial compression loading and the statistical …

Effects of self-avoidance on the packing of stiff rods on ellipsoids

D Grossman, E Katzav - Physical Review E, 2024 - APS
Using a statistical-mechanics approach, we study the effects of geometry and self-avoidance
on the ordering of slender filaments inside nonisotropic containers, considering cortical …

Spontaneous emergence of ordered phases in crumpled sheets

YC Lin, JM Sun, JH Hsiao, Y Hwu, CL Wang, TM Hong - Physical review letters, 2009 - APS
X-ray tomography is performed to acquire 3D images of crumpled aluminum foils. We
develop an algorithm to trace out the labyrinthian paths in the three perpendicular cross …